Are They Subspace of Rn? Determine whether or not the subsets of Rn given in Problem 1-2
Question:
Determine whether or not the subsets of Rn given in Problem 1-2 are subspaces. If not, show what required properties they fail to have?
1. Is {(a, b, a - b, a + b) | a, b ( R} a subspace of R4?
2. Is {(a, 0, b, 1, c) | a, b, c, ( R} a subspace of R5?
3. Is {(a, b, a2, b2) | a, b ( R} a subspace of R4?
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Related Book For 
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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